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Tags:
artificial-intelligence
recursive-self-improvement
continual-learning
representation-learning
world-models
cognitive-architecture
File size: 7,101 Bytes
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"format": "axiomesh-claims-v1",
"date": "2026-10-07",
"core_version": "0.2.0",
"review_status": {
"independent_human_peer_review": false,
"formal_proof_assistant_certification": false,
"automated_checks": "see results/agent_expert_qa.json"
},
"important_negative_result": "Strong conventional finite learner ties principal prediction benchmark.",
"novelty_probabilities": "No calibrated world-first or new-RSI-class probability is supplied.",
"claims": [
{
"id": "C01",
"title": "Finite operational closure and frozen compilation",
"status": "proved_in_manuscript_and_tested",
"novelty_boundary": "Established behavioral-equivalence and linear-observability foundations",
"assumptions": "Declared finite query/action matrices",
"manuscript": "thm:compile",
"implementation": [
"close_operators",
"Closure.compile"
],
"tests": [
"test_closure_exact_and_frozen",
"test_random_closure"
]
},
{
"id": "C02",
"title": "Capability growth can invalidate old memory sufficiency",
"status": "derived_and_tested",
"novelty_boundary": "Candidate architectural use; principle follows from refined behavioral equivalence",
"assumptions": "New declared actions with trusted memory",
"manuscript": "Why present recall is not future recall",
"implementation": [
"hole_certificate",
"Memory.recall"
],
"tests": [
"test_static_recovery_is_not_future_recovery",
"test_capability_growth_exposes_a_real_program_witness"
]
},
{
"id": "C03",
"title": "Query-relative exact identifiability",
"status": "proved_in_manuscript_and_tested",
"novelty_boundary": "Known linear algebra / functional observability",
"assumptions": "Consistent trusted linear observations over a prime field",
"manuscript": "thm:recall",
"implementation": [
"Memory.recall"
],
"tests": [
"test_inconsistent_memory_rejected",
"test_partial_execution"
]
},
{
"id": "C04",
"title": "Minimum additional scalar acquisition rank",
"status": "proved_in_manuscript_and_tested",
"novelty_boundary": "Known rank supplement; coupled architectural application",
"assumptions": "Unrestricted attainable scalar linear observations",
"manuscript": "thm:debt",
"implementation": [
"Memory.supplement",
"Memory.acquire"
],
"tests": [
"test_acquisition_lower_bound_and_transaction"
]
},
{
"id": "C05",
"title": "Minimal additional ancestral tether",
"status": "proved_in_manuscript_and_tested",
"novelty_boundary": "Known complement dimensions applied to a lineage contract",
"assumptions": "Child row spaces lie within parent relevant space; count field symbols",
"manuscript": "thm:tether",
"implementation": [
"split_with_tether"
],
"tests": [
"test_minimal_fractal_tether"
]
},
{
"id": "C06",
"title": "Recursive reconstruction without internal parent seeds",
"status": "proved_in_manuscript_and_tested",
"novelty_boundary": "Recursive application of stated finite complement contract",
"assumptions": "Required leaf/tether data and transformation metadata survive",
"manuscript": "thm:recursive",
"implementation": [
"fractalize",
"regenerate_tree"
],
"tests": [
"test_recursive_fracture"
]
},
{
"id": "C07",
"title": "Known-erasure regenerative seed",
"status": "tested",
"novelty_boundary": "Classical polynomial erasure coding",
"assumptions": "Known erasures; no general metadata or consistent-corruption authentication",
"manuscript": "Fractal checkpoints and lower bounds",
"implementation": [
"Capsule.recover",
"Capsule.correct"
],
"tests": [
"test_all_erasures_within_radius",
"test_one_corruption_bounded_distance"
]
},
{
"id": "C08",
"title": "Held-out predictions inside the supplied learned algebraic family",
"status": "tested_with_strong_baseline_tie",
"novelty_boundary": "No new autonomous family-discovery claim",
"assumptions": "Supplied alternating-interaction family; 10,000 aggregate words",
"manuscript": "Learned world-model to regenerated offspring",
"implementation": [
"esre_v01.py",
"run_experiments.py"
],
"tests": []
},
{
"id": "C09",
"title": "Complementary operator bundles defeat individual greedy selection",
"status": "constructed_and_tested",
"novelty_boundary": "Established non-submodular complementarity in this constructed setting",
"assumptions": "Live operator budget matched; total selection compute is not matched",
"manuscript": "Why individual branch novelty can fail",
"implementation": [
"emergence_rank",
"run_experiments.py"
],
"tests": [
"test_emergence_requires_mixed_words"
]
},
{
"id": "C10",
"title": "CQW defines a distinct new RSI research class",
"status": "unverified",
"novelty_boundary": "Exact combined operational contract is candidate novelty",
"assumptions": "Needs overlap analysis and shared-tool empirical separation",
"manuscript": "Surviving candidate",
"implementation": [
"weave"
],
"tests": []
},
{
"id": "C11",
"title": "Trained neural AXIOMESH implementation",
"status": "not_implemented",
"novelty_boundary": "Unassessed",
"assumptions": "Blueprint only",
"manuscript": "Approximate and native neural versions",
"implementation": [],
"tests": []
},
{
"id": "C12",
"title": "Sustained intelligence multiplication / recursive acceleration",
"status": "not_demonstrated",
"novelty_boundary": "Unassessed",
"assumptions": "Requires equal-resource gains in next-discovery productivity",
"manuscript": "Intelligence multiplication: a falsifiable hypothesis",
"implementation": [],
"tests": []
},
{
"id": "C13",
"title": "Data-only AI-agent adapter",
"status": "implemented_and_tested",
"novelty_boundary": "Distribution interface; no new scientific advantage claimed",
"assumptions": "Small bounded inputs; no evidence oracle or model call",
"manuscript": "docs/AGENT_SUPPORT.md",
"implementation": [
"agent_interface.py"
],
"tests": [
"test_explicit_observation_permits_compilation_and_fresh_recovery",
"test_not_enough_surviving_shares_abstains"
]
}
],
"aggregate_evidence": {
"source": "results/replication_summary.json",
"seeds_are_rng_labels": true,
"independent_neural_runs": 0
},
"next_decisive_test": "docs/EVALUATION_PROTOCOL.md"
}
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